Given numbers are 350,448,540,616

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 350,448,540,616 is 3326400.

Find LCM of 350,448,540,616 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 5 x 7 x 5 x 8 x 27 x 11 = 3326400

Therefore, the lowest common multiple of 350,448,540,616 is 3326400.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

350 x 448 x 540 x 616 = 52157952000

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 350,448,540,616, is 2.

Now, the common factors can be found like this.

350:2x 5x 5x 7

448:2x 2x 2x 2x 2x 2x 7

540:2x 2x 3x 3x 3x 5

616:2x 2x 2x 7x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 5x 7x 7 = 7840

Therefore, the value for common factors is 7840.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 52157952000/(2x7840)

LCM = 52157952000/15680

LCM = 3326400

Thus, we can understand that the LCM of 350,448,540,616 is 3326400.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 152, 813, 465, 899
• LCM of 156, 274, 875, 552
• LCM of 475, 163, 754, 400
• LCM of 235, 792, 858, 347
• LCM of 846, 310, 858, 990

1. What is the LCM of 350, 448, 540, 616?

Answer: LCM of 350, 448, 540, 616 is 3326400.

2. How to calculate the LCM of 350, 448, 540, 616?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 350, 448, 540, 616.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.